
arXiv: 2002.01542
SummaryIn this work, we present a constructive method to design a family of virtual contraction based controllers that solve the standard trajectory tracking problem of flexible‐joint robots in the port‐Hamiltonian framework. The proposed design method, called virtual contraction based control, combines the concepts of virtual control systems and contraction analysis. It is shown that under potential energy matching conditions, the closed‐loop virtual system is contractive and exponential convergence to a predefined trajectory is guaranteed. Moreover, the closed‐loop virtual system exhibits properties such as structure preservation, differential passivity, and the existence of (incrementally) passive maps. The method is later applied to a planar RR robot, and two nonlinear tracking control schemes in the developed controllers family are designed using different contraction analysis approaches. Experiments confirm the theoretical results for each controller.
FOS: Computer and information sciences, tracking control, contraction, Automated systems (robots, etc.) in control theory, port-Hamiltonian systems, Systems and Control (eess.SY), IMPEDANCE CONTROL, FRAMEWORK, virtual control systems, Electrical Engineering and Systems Science - Systems and Control, flexible-joints robots, Computer Science - Robotics, SYSTEMS, Optimization and Control (math.OC), INTERCONNECTION, PASSIVITY-BASED CONTROL, Networked control, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, POSITION, MANIPULATORS, Mathematics - Optimization and Control, Robotics (cs.RO)
FOS: Computer and information sciences, tracking control, contraction, Automated systems (robots, etc.) in control theory, port-Hamiltonian systems, Systems and Control (eess.SY), IMPEDANCE CONTROL, FRAMEWORK, virtual control systems, Electrical Engineering and Systems Science - Systems and Control, flexible-joints robots, Computer Science - Robotics, SYSTEMS, Optimization and Control (math.OC), INTERCONNECTION, PASSIVITY-BASED CONTROL, Networked control, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, POSITION, MANIPULATORS, Mathematics - Optimization and Control, Robotics (cs.RO)
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